2011Journal of Gansu SciencesRequires access

On the First Kind of Weak Total Coloring of Graphs S_m∨W_n

Wen Fei

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Abstract

The first kind of weak total coloring of graphs is a total coloring such that two adjacent vertices and two adjacent edges are not assigned the same colors.The minimum number of colors is called the first kind of weak total chromatic number.The first kind of weak total coloring chromatic number of Sm∨Wn(m,n≥3) is discussed in the paper.

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The first kind of weak total coloring of graphs is a total coloring such that two adjacent vertices and two adjacent edges are not assigned the same colors.The minimum number of colors is called the first kind of weak total chromatic number.The first kind of weak total coloring chromatic number of Sm∨Wn(m,n≥3) is discussed in the paper.

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Available abstract

The first kind of weak total coloring of graphs is a total coloring such that two adjacent vertices and two adjacent edges are not assigned the same colors.The minimum number of colors is called the first kind of weak total chromatic number.The first kind of weak total coloring chromatic number of Sm∨Wn(m,n≥3) is discussed in the paper.

Key concepts: Total coloring, Brooks' theorem, Combinatorics, Complete coloring, Fractional coloring, Mathematics, Chromatic scale, Edge coloring

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